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The micro-organisms double themselves in 3 h. Assuming that the quantity increases at a rate proportional to it self, then the number of times it multiplies themselves in 18 yr is ______.

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Question

The micro-organisms double themselves in 3 h. Assuming that the quantity increases at a rate proportional to itself, then the number of times it multiplies themselves in 18 yr is ______.

Options

  • 32

  • 64

  • 40

  • 128

MCQ
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Solution

The micro-organisms double themselves in 3 h. Assuming that the quantity increases at a rate proportional to itself, then the number of times it multiplies themselves in 18 yr is 64.

Explanation:

Let the number of micro-organisms in the initial is n

Here, n will be 2n in 3 yr

∴ Number of micro-organism in 18 yr

= (26)n = 64n

∴ 64 time of micro-organism in 18 yr.

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